摘要
研究具有连续分布时滞的非线性中立型双曲微分方程/t[p(t)/t〔u(x,t)+∑from i=1 to l (λi(t)u(x,t-τi)〕]=a(t)Δu(x,t)+∑ from k=1 to s ak(t)Δu(x,t-ρk(t))-∫ abq(x,t,ξ)f[u(x,g(t,ξ))]dσ(ξ),(x,t)∈Ω×[0,+∞≡G的振动性问题,利用Riccati变换和Philos的积分平均方法,获得该方程边值问题一切解在G内振动的几个充分条件,推广并改进了文[1]和[6]中相应的结果.
Consider oscillation of nonlinear neutral hyperbolic differential equations with continuously distributed delays of the form 偏d/偏dt[p（t）偏d/偏dt（u（x,t）＋^l∑i=1λi（t）u（x,t-τi））]=a（t）△u（x,t）＋^s∑k=1ak（t）△u（x,t-ρk（t））-∫a^bq（x,t,ξ）f[u（x,g（t,ξ））]dσ（ξ）,（x,t）∈Ω×[0,＋∞）≡G By the Riccati transformation and Philos＇ method of integral average, some sufficient conditions are obtained for all the solutions of the boundary value problem of this equation to oscillate in G, which improve oscillation theorems in papers [1] and [6].
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2007年第4期548-551,共4页
Journal of Natural Science of Heilongjiang University
基金
黑龙江省教育厅科学技术研究项目(10551248)
